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135072434000 = 245379648031
BaseRepresentation
bin111110111001011110…
…0011100011101010000
3110220122102121120221202
41331302330130131100
54203112020342000
6142015035010332
712521135513450
oct1756274343520
9426572546852
10135072434000
115231395a949
12222175999a8
13c977a44a7a
146775023d60
1537a8326dd5
hex1f72f1c750

135072434000 has 80 divisors (see below), whose sum is σ = 373263062016. Its totient is φ = 46310544000.

The previous prime is 135072433963. The next prime is 135072434011. The reversal of 135072434000 is 434270531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810016 + ... + 4838015.

Almost surely, 2135072434000 is an apocalyptic number.

135072434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135072434000 is an abundant number, since it is smaller than the sum of its proper divisors (238190628016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135072434000 is an equidigital number, since it uses as much as digits as its factorization.

135072434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648061 (or 9648045 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 135072434000 in words is "one hundred thirty-five billion, seventy-two million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 9648031 19296062 38592124 48240155 67536217 77184248 96480310 135072434 154368496 192960620 241200775 270144868 337681085 385921240 482401550 540289736 675362170 771842480 964803100 1080579472 1206003875 1350724340 1688405425 1929606200 2412007750 2701448680 3376810850 3859212400 4824015500 5402897360 6753621700 8442027125 9648031000 13507243400 16884054250 19296062000 27014486800 33768108500 67536217000 135072434000